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Zeitschrift für Analysis und ihre Anwendungen

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Volume 5, Issue 2, 1986, pp. 169–177
DOI: 10.4171/ZAA/191

Published online: 1986-04-30

Non-Negative Trigonometric Polynomials with Constraints

Stephan Ruscheweyh[1]

(1) Universität Würzburg, Germany

We discuss extremal problems for non-negative trigonometric polynomials with prescribed zeros. The general result is used to refine a former theorem of Fejér concerning upper bounds of those polynomials near to a zero. Another application deals with the coefficient problem for typically real (algebraic) polynomials.

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Ruscheweyh Stephan: Non-Negative Trigonometric Polynomials with Constraints. Z. Anal. Anwend. 5 (1986), 169-177. doi: 10.4171/ZAA/191